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2 years ago

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?

Mathematics

1 answer:

RSB [31]2 years ago

4 0

Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)

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Answer:

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Step-by-step explanation:

Move all terms containing x to the left side of the equation.

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Move all terms not containing x to the right side of the equation.

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2 years ago

Which number line represents the solution set for inequality?

AlekseyPX

Answer:

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Step-by-step explanation:

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2 years ago

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cupoosta [38]

Each line has a difference of four

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2 years ago

Please help

katrin2010 [14]

$\dfrac{n^2+3n+2}{n^2+6n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n^2+2n+n+2}{n^2+4n+2n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n(n+2)+1(n+2)}{n(n+4)+2(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{(n+2)(n+1)}{(n+2)(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{n+1}{n+4}-\dfrac{2n}{n+4}=\dfrac{n+1-2n}{n+4}=\dfrac{1-n}{n+4}$

$Answer:\ \boxed{B.\ \dfrac{1-n}{n+4}}$

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Step-by-step explanation:

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2. Reflexive Property

3. Alternate Interior Angles

4. SAS

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2 years ago